Detail publikačního výsledku

Determination of initial data generating (b, c)-bounded solutions of a triangular differential system of equations

BAŠTINEC, J.; DIBLÍK, J.; KOROBKO, E.

Originální název

Determination of initial data generating (b, c)-bounded solutions of a triangular differential system of equations

Anglický název

Determination of initial data generating (b, c)-bounded solutions of a triangular differential system of equations

Druh

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Originální abstrakt

The paper considers a nonlinear triangular system of discrete equations u_1(k + 1) = q_1(k)α_1(u_1(k)), u_2(k + 1) = q_2(k)α_2(u_1(k))α_3(u_2(k)) where q_i, i=1,2 are given functions, k\ge k_0, k_0 is a natural number and α_i, i=1,2,3 are increasing continuous positive functions. Initial data for the existence of solutions with coordinates bounded from below and from above by the given functions are determined.

Anglický abstrakt

The paper considers a nonlinear triangular system of discrete equations u_1(k + 1) = q_1(k)α_1(u_1(k)), u_2(k + 1) = q_2(k)α_2(u_1(k))α_3(u_2(k)) where q_i, i=1,2 are given functions, k\ge k_0, k_0 is a natural number and α_i, i=1,2,3 are increasing continuous positive functions. Initial data for the existence of solutions with coordinates bounded from below and from above by the given functions are determined.

Klíčová slova

Initial data, triangular system, discrete equation, system of equations, convergent sequence.

Klíčová slova v angličtině

Initial data, triangular system, discrete equation, system of equations, convergent sequence.

Autoři

BAŠTINEC, J.; DIBLÍK, J.; KOROBKO, E.

Rok RIV

2021

Vydáno

14.12.2020

Nakladatel

UNOB Brno

Místo

Brno

ISBN

978-80-7582-366-3

Kniha

Mathematics, Information Technologies and Applied Sciences 2020, post-conference proceedings of extended versions of selected papers

Strany od

7

Strany do

19

Strany počet

13

URL

http://mitav.unob.cz/index20.html

BibTex

@inproceedings{BUT167285,
  author="Jaromír {Baštinec} and Josef {Diblík} and Evgeniya {Korobko}",
  title="Determination of initial data generating (b, c)-bounded solutions of a triangular differential system of equations",
  booktitle="Mathematics, Information Technologies and Applied Sciences 2020,
post-conference proceedings of extended versions of selected papers",
  year="2020",
  number="1",
  pages="7--19",
  publisher="UNOB Brno",
  address="Brno",
  isbn="978-80-7582-366-3",
  url="http://mitav.unob.cz/index20.html"
}